# math

You and your friend each have a coin. For each round, each of you flips your coin. If both coins show heads, your friend pays you \$3. If both show tails, your friend pays you \$1. If the coins don't match, you pay him \$2. Is this a fair game?

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3. 👁 82
1. The four possible outcomes are:
outcome payment
H/H +3.00
H/T -2.00
T/H -2.00
T/T -1.00

Average -2.00/4 = -0.50

Decide for yourself.

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2. mathmate~

in the last part of the list T/T you have a -1.00 but shouldnt it be +1.00? does that then change the final answer?

thank you!!

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posted by natalie
3. Definitely!
Sorry that I misread the payment scheme.
So it is now:
outcome payment
H/H +3.00
H/T -2.00
T/H -2.00
T/T +1.00

Average 0.00/4 = 0.0

I suppose the result is now evident.

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4. thank you! :)

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posted by natalie

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